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Finding the Fourth Proportional to 9.16, 13.74 and 4.65

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Solution

The fourth proportional to 9.16, 13.74 and 4.65 is: 6.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.16 : 13.74 = 4.65 : x
  2. Step 2: Convert to fraction form
    9.16/13.74 = 4.65/x
  3. Step 3: Cross multiply
    9.16x = 13.74 × 4.65
  4. Step 4: Simplify right side
    9.16x = 63.89
  5. Step 5: Solve for x
    x = 63.89/9.16
  6. Step 6: Final answer
    x = 6.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.